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Finding the Fourth Proportional to 1,013.70, 1,396.08 and 947.82

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Solution

The fourth proportional to 1,013.70, 1,396.08 and 947.82 is: 1,305.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.70 : 1,396.08 = 947.82 : x
  2. Step 2: Convert to fraction form
    1,013.70/1,396.08 = 947.82/x
  3. Step 3: Cross multiply
    1,013.70x = 1,396.08 × 947.82
  4. Step 4: Simplify right side
    1,013.70x = 1,323,232.55
  5. Step 5: Solve for x
    x = 1,323,232.55/1,013.70
  6. Step 6: Final answer
    x = 1,305.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.